74351208960 has 800 divisors, whose sum is σ = 307108593792. Its totient is φ = 16840949760.

The previous prime is 74351208917. The next prime is 74351209001. The reversal of 74351208960 is 6980215347.

74351208960 is a `hidden beast` number, since 7 + 4 + 351 + 208 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 262724979 + ... + 262725261.

It is a 1-persistent number, because it is pandigital, but 2⋅74351208960 = 148702417920 is not.

Almost surely, 2^74351208960 is an apocalyptic number.

74351208960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74351208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153554296896).

74351208960 is an abundant number, since it is smaller than the sum of its proper divisors (232757384832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74351208960 is a wasteful number, since it uses less digits than its factorization.

74351208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 74351208960 in words is "seventy-four billion, three hundred fifty-one million, two hundred eight thousand, nine hundred sixty".